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Circulant weighing designs
Author(s) -
Arasu K. T.,
Seberry Jennifer
Publication year - 1996
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/(sici)1520-6610(1996)4:6<439::aid-jcd4>3.0.co;2-g
Subject(s) - circulant matrix , mathematics , algebraic number , order (exchange) , matrix (chemical analysis) , combinatorics , algebraic structure , arithmetic , algebra over a field , discrete mathematics , pure mathematics , mathematical analysis , materials science , finance , economics , composite material
Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. © 1996 John Wiley & Sons, Inc.